Michael Bildhauer

930 total citations
56 papers, 612 citations indexed

About

Michael Bildhauer is a scholar working on Computational Theory and Mathematics, Applied Mathematics and Computational Mechanics. According to data from OpenAlex, Michael Bildhauer has authored 56 papers receiving a total of 612 indexed citations (citations by other indexed papers that have themselves been cited), including 45 papers in Computational Theory and Mathematics, 38 papers in Applied Mathematics and 12 papers in Computational Mechanics. Recurrent topics in Michael Bildhauer's work include Advanced Mathematical Modeling in Engineering (42 papers), Nonlinear Partial Differential Equations (35 papers) and Advanced Numerical Methods in Computational Mathematics (8 papers). Michael Bildhauer is often cited by papers focused on Advanced Mathematical Modeling in Engineering (42 papers), Nonlinear Partial Differential Equations (35 papers) and Advanced Numerical Methods in Computational Mathematics (8 papers). Michael Bildhauer collaborates with scholars based in Germany, Russia and Finland. Michael Bildhauer's co-authors include Martin Fuchs, M. Fuchs, Martin Fuchs, Xiao Zhong, D. E. Apushkinskaya, Sergey Repin, Giuseppe Mingione, Xiangfu Zhong, S. Repin and Joachim Weickert and has published in prestigious journals such as Lecture notes in mathematics, Journal of Mathematical Analysis and Applications and Mathematical Methods in the Applied Sciences.

In The Last Decade

Michael Bildhauer

51 papers receiving 553 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Michael Bildhauer Germany 14 490 480 151 89 42 56 612
Filip Rindler United Kingdom 11 210 0.4× 229 0.5× 145 1.0× 36 0.4× 7 0.2× 30 389
F. Demengel France 9 141 0.3× 171 0.4× 85 0.6× 32 0.4× 27 0.6× 15 267
Jan Kristensen United Kingdom 19 801 1.6× 906 1.9× 361 2.4× 60 0.7× 10 0.2× 48 1.1k
M. Carriero Italy 7 174 0.4× 148 0.3× 99 0.7× 73 0.8× 75 1.8× 8 339
Goro Akagi Japan 12 260 0.5× 254 0.5× 77 0.5× 45 0.5× 5 0.1× 46 395
Jana Stará Czechia 14 312 0.6× 319 0.7× 107 0.7× 35 0.4× 3 0.1× 35 397
S. Kesavan India 10 275 0.6× 160 0.3× 72 0.5× 115 1.3× 4 0.1× 31 365
Bozhidar Velichkov Italy 14 276 0.6× 296 0.6× 149 1.0× 28 0.3× 6 0.1× 45 420
Juliette Venel France 6 105 0.2× 61 0.1× 34 0.2× 23 0.3× 15 0.4× 12 240
Patrick Penel France 12 87 0.2× 366 0.8× 225 1.5× 157 1.8× 8 0.2× 45 458

Countries citing papers authored by Michael Bildhauer

Since Specialization
Citations

This map shows the geographic impact of Michael Bildhauer's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Michael Bildhauer with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Michael Bildhauer more than expected).

Fields of papers citing papers by Michael Bildhauer

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Michael Bildhauer. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Michael Bildhauer. The network helps show where Michael Bildhauer may publish in the future.

Co-authorship network of co-authors of Michael Bildhauer

This figure shows the co-authorship network connecting the top 25 collaborators of Michael Bildhauer. A scholar is included among the top collaborators of Michael Bildhauer based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Michael Bildhauer. Michael Bildhauer is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Bildhauer, Michael, et al.. (2023). A small remark on Bernstein’s theorem. Archiv der Mathematik. 121(4). 437–447.
2.
Bildhauer, Michael & Martin Fuchs. (2022). On the global regularity for minimizers of variational integrals: splitting-type problems in 2D and extensions to the general anisotropic setting. Journal of Elliptic and Parabolic Equations. 8(2). 853–884. 2 indexed citations
3.
Bildhauer, Michael & M. Fuchs. (2015). On Some Perturbations of the total variation image inpainting method. Part II: Relaxation and Dual Variational Formulation. Journal of Mathematical Sciences. 205(2). 121–140. 9 indexed citations
4.
Bildhauer, Michael & M. Fuchs. (2015). On Some Perturbations of the Total Variation Image Inpainting Method. Part III: Minimization Among Sets with Finite Perimeter. Journal of Mathematical Sciences. 207(2). 142–146. 2 indexed citations
5.
Bildhauer, Michael & M. Fuchs. (2014). Image Inpainting with Energies of Linear Growth. A Collection of Proposals. Journal of Mathematical Sciences. 196(4). 490–497. 4 indexed citations
6.
Bildhauer, Michael & Martin Fuchs. (2012). A Variational Approach to the Denoising of Images Based on Different Variants of the TV-Regularization. Applied Mathematics & Optimization. 66(3). 331–361. 17 indexed citations
7.
Bildhauer, Michael, M. Fuchs, & S. Repin. (2009). The Elastic–Plastic Torsion Problem:A PosterioriError Estimates for Approximate Solutions. Numerical Functional Analysis and Optimization. 30(7-8). 653–664. 3 indexed citations
8.
Bildhauer, Michael & Martin Fuchs. (2007). On the regularity of local minimizers of decomposable variational integrals on domains in $\mathbb {R}^2$. Commentationes Mathematicae Universitatis Carolinae. 48(2). 321–341. 2 indexed citations
9.
Bildhauer, Michael & M. Fuchs. (2007). Continuity Properties of the Stress Tensor in the 3-Dimensional Ramberg/Osgood Model. Journal of Applied Analysis. 13(2). 5 indexed citations
10.
Bildhauer, Michael, M. Fuchs, & Xiangfu Zhong. (2007). Variational integrals with a wide range of anisotropy. St Petersburg Mathematical Journal. 18(5). 717–737. 7 indexed citations
11.
Bildhauer, Michael & Martin Fuchs. (2007). Higher integrability of the gradient for vectorial minimizers of decomposable variational integrals. manuscripta mathematica. 123(3). 269–283. 23 indexed citations
12.
Bildhauer, Michael, Martin Fuchs, & Sergey Repin. (2007). Duality based a posteriori error estimates for higher order variational inequalities with power growth functionals. Annales Academiae Scientiarum Fennicae Mathematica. 33(2). 475–490. 7 indexed citations
13.
Apushkinskaya, D. E., Michael Bildhauer, & Martin Fuchs. (2005). Steady States of Anisotropic Generalized Newtonian Fluids. Journal of Mathematical Fluid Mechanics. 7(2). 261–297. 25 indexed citations
14.
Bildhauer, Michael, Martin Fuchs, & Xiao Zhong. (2004). A lemma on the higher integrability of functions with applications to the regularity theory of two-dimensional generalized Newtonian fluids. manuscripta mathematica. 116(2). 135–156. 31 indexed citations
15.
Bildhauer, Michael. (2003). Convex Variational Problems. Lecture notes in mathematics. 42 indexed citations
16.
Bildhauer, Michael & M. Fuchs. (2003). Twodimensional anisotropic variational problems. Calculus of Variations and Partial Differential Equations. 16(2). 177–186. 8 indexed citations
17.
Bildhauer, Michael & M. Fuchs. (2002). Regularity for Dual Solutions and for Weak Cluster Points of Minimizing Sequences of Variational Problems with Linear Growth. Journal of Mathematical Sciences. 109(5). 1835–1850. 9 indexed citations
18.
Bildhauer, Michael. (2002). Twodimensional variational problems with linear growth. manuscripta mathematica. 111(3). 325–342. 11 indexed citations
19.
Bildhauer, Michael & Martin Fuchs. (2001). Higher order variational inequalities with non-standard growth conditions in dimension two: plates with obstacles.. Annales Academiae Scientiarum Fennicae Mathematica. 26(2). 509–518. 5 indexed citations
20.
Bildhauer, Michael & Martin Fuchs. (2001). Relaxation of convex variational problems with linear growth defined on classes of vector-valued functions. Publications of the UdS (Saarland University). 9 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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